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Finding the Fourth Proportional to 5,987.76, 8,978.94 and 2,089.50

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Solution

The fourth proportional to 5,987.76, 8,978.94 and 2,089.50 is: 3,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.76 : 8,978.94 = 2,089.50 : x
  2. Step 2: Convert to fraction form
    5,987.76/8,978.94 = 2,089.50/x
  3. Step 3: Cross multiply
    5,987.76x = 8,978.94 × 2,089.50
  4. Step 4: Simplify right side
    5,987.76x = 18,761,495.13
  5. Step 5: Solve for x
    x = 18,761,495.13/5,987.76
  6. Step 6: Final answer
    x = 3,133.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.